Illustrative Math - Algebra 2 - Unit 2 - Lesson 23

Select all the identities:​​​​

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• {"blocks":[{"key":"0","text":"(x^{6}+x)=(x-1)(x^{5}+x^{4}+x^{3}+x^{2}+x)","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":42,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x^{2}-1)(x^{4}+x^{2}+1)=x^{6}-1","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":32,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x+1)^{4}=x^{4}+x^{3}+x^{2}+x+1","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":31,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
• {"blocks":[{"key":"0","text":"(x+1)(x^{4}-x^{3}+x^{2}-x+1)=x^{5}+1","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":36,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

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A.REI.2

Is 2(x+1)^{2}=(2x+2)^{2} an identity? Explain or show your reasoning.

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A.REI.2

Mai is solving the rational equation 5=\frac{2+7x}{x} for x. What move do you think Mai would make first to solve for x? Explain your reasoning.

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A.REI.2

For x-values of 0 and -2, (x^{5}+32)=(x+2)^{5}. Does this mean the equation is an identity? Explain your reasoning.

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A.REI.2

Which values of x make \frac{3x+1}{x}=\frac{1}{x-3} true?

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A.REI.2